Hi, I need help on this prediction interval dealing with a least-square regression equation question 1. What is the 90% prediction interval for the individual value of the son's height (in centimeters) when the father's height is 176 centimeters? (Carry your intermediate computations to at least four decimal places, and round your answers to at least two decimal places) Lower limit? Upper limit? 2. Consider (but do not actually compute) the 90% confidence interval for the mean son's height when the father's height is 176 centimeters. How would the prediction interval computed above compare to this confidence interval? (assuming that both intervals are computed from the same sample data)? A. The prediction interval would have the same center as, but would be narrower than, the confidence interval. B. The prediction interval would be identical to the confidence interval C. The prediction interval would have the same center as, but would be wider than, the confidence interval. D. The prediction interval would be positioned to the left of the confidence interval E. The prediction interval would be positioned to the right of the confidence interval 3. For the father's height values in this sample, 159 centimeters is more extreme than 176 centimeters is, that is, 159 is farther from the sample mean father's height than 176 is. How would the 90% prediction interval for the mean son's height when the father's height is 176 centimeters compare to the 90% prediction interval for the mean son's height when the father's height is 159 centimeters? A. The interval computed from a father's height of 176 would be narrower and have a different center B. The would be identical C. The interval computed from a father's height of 176 would be narrower but have the same center D. The interval computed from a father's height of 176 would be wider and have a different center E. The interval computed from a father's height of 176 would be wider but have the same center